Advances in Complex Analysis and Operator Theory

Festschrift in Honor of Daniel Alpay’s 60th Birthday

  • Fabrizio Colombo
  • Irene Sabadini
  • Daniele C. Struppa
  • Mihaela B. Vajiac
Book

Part of the Trends in Mathematics book series (TM)

Table of contents

  1. Front Matter
    Pages i-viii
    PDF
  2. Classes of de Branges Matrices and Corresponding de Branges Spaces
    Damir Z. Arov, Harry Dym
    Pages 1-17
  3. Divided Differences and Two-sided Polynomial Interpolation Over Quaternions
    Vladimir Bolotnikov
    Pages 19-35
  4. Fischer Decomposition in Generalized Fractional Clifford Analysis
    P. Cerejeiras, A. Fonseca, U. Kähler, N. Vieira
    Pages 37-53
  5. Free Products of C*-Probability Spaces from p-Adic Hecke Algebras
    Il Woo Cho, Palle E. T. Jorgensen
    Pages 55-99
  6. An Introduction to Fractional Powers of Quaternionic Operators and New Fractional Diffusion Processes
    Fabrizio Colombo, Jonathan Gantner
    Pages 101-134
  7. Finite-dimensional Self-adjoint Extensions of a Symmetric Operator with Finite Defect and their Compressions
    Aad Dijksma, Heinz Langer
    Pages 135-163
  8. On the Structure of Hausdorff Moment Sequences of Complex Matrices
    Bernd Fritzsche, Bernd Kirstein, Conrad Mädler
    Pages 165-217
  9. On Some Extremal Problems for Analytic Functions with Constraints on Real or Imaginary Parts
    Juliette Leblond, Dmitry Ponomarev
    Pages 219-236
  10. A Burns–Krantz-type Theorem for Pseudo-contractive Mappings
    Marina Levenshtein, David Shoikhet
    Pages 237-246
  11. Spectral Convergence of Large Block-Hankel Gaussian Random Matrices
    Philippe Loubaton, Xavier Mestre
    Pages 247-280
  12. Bernstein-type Inequalities for Bicomplex Polynomials
    I. Sabadini, A. Vajiac, M. B. Vajiac
    Pages 281-299
  13. Finite Unions of Intervals, Part I
    Ahmed Sebbar
    Pages 301-345
  14. Directing Functionals and De Branges Space Completions in Almost Pontryagin Spaces
    Harald Woracek
    Pages 347-398

About this book

Introduction

This book gathers contributions written by Daniel Alpay’s friends and collaborators. Several of the papers were presented at the International Conference on Complex Analysis and Operator Theory held in honor of Professor Alpay’s 60th birthday at Chapman University in November 2016. The main topics covered are complex analysis, operator theory and other areas of mathematics close to Alpay’s primary research interests.

The book is recommended for mathematicians from the graduate level on, working in various areas of mathematical analysis, operator theory, infinite dimensional analysis, linear systems, and stochastic processes.

Keywords

reproducing kernels reproducing kernel spaces analytic functions linear operators linear systems infinite dimensional analysis interpolation problems

Editors and affiliations

  • Fabrizio Colombo
    • 1
  • Irene Sabadini
    • 2
  • Daniele C. Struppa
    • 3
  • Mihaela B. Vajiac
    • 4
  1. 1.Dipartimento di MatematicaPolitecnico di MilanoMilanoItaly
  2. 2.Dipartimento di MatematicaPolitecnico di MilanoMilanoItaly
  3. 3.Schmid College of Science and TechnologyChapman UniversityOrangeUSA
  4. 4.Schmid College of Science and TechnologyChapman UniversityOrangeUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-62362-7
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-62361-0
  • Online ISBN 978-3-319-62362-7
  • Series Print ISSN 2297-0215
  • Series Online ISSN 2297-024X
  • Buy this book on publisher's site